1.

If the surface tension of a liquid is T, the gain in surface energy for an increase in liquid surface by A, is : (a) A2 T2  (b) A2 T (c) AT (d) AT−1 

Answer» <p class="MsoNormal" style="text-align: justify;"><span style="font-family:Arial,Helvetica,sans-serif"><span style="color:#000000"><strong>Correct option (c) AT</strong></span></span></p><p class="MsoNormal" style="text-align: justify;"><span style="font-family:Arial,Helvetica,sans-serif"><span style="color:#000000"><strong>Explanation:</strong></span></span></p><p style="text-align: justify;"><span style="font-family:Arial,Helvetica,sans-serif"><span style="color:#000000">From the relation, the work done in increasing the surface area of a liquid by ΔA is given by </span></span></p><p style="text-align: justify;"><span style="font-family:Arial,Helvetica,sans-serif"><span style="color:#000000">W = TΔA </span></span></p><p style="text-align: justify;"><span style="font-family:Arial,Helvetica,sans-serif"><span style="color:#000000">Here : ΔA = A (at a certain temperature) </span></span></p><p style="text-align: justify;"><span style="font-family:Arial,Helvetica,sans-serif"><span style="color:#000000">So, gain in surface energy </span></span></p><p style="text-align: justify;"><span style="font-family:Arial,Helvetica,sans-serif"><span style="color:#000000">= work done W = TA = AT</span></span></p>


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